363609 has 15 divisors (see below), whose sum is σ = 551397. Its totient is φ = 238788.

The previous prime is 363589. The next prime is 363611. The reversal of 363609 is 906363.

The square root of 363609 is 603.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 363609 - 2⁵ = 363577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (363619) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5394 + ... + 5460.

363609 is a Friedman number, since it can be written as (603^3)^(6/9), using all its digits and the basic arithmetic operations.

2³⁶³⁶⁰⁹ is an apocalyptic number.

363609 is the 603-rd square number.

363609 is the 302-nd centered octagonal number.

It is an amenable number.

363609 is a deficient number, since it is larger than the sum of its proper divisors (187788).

363609 is an frugal number, since it uses more digits than its factorization.

363609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The cubic root of 363609 is about 71.3747951428.

Multiplying 363609 by its product of nonzero digits (2916), we get a square (1060283844 = 32562²).

The spelling of 363609 in words is "three hundred sixty-three thousand, six hundred nine".